12138192 has 120 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 3594240.

The previous prime is 12138163. The next prime is 12138193. The reversal of 12138192 is 29183121.

12138192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125088 + ... + 125184.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^12138192 is an apocalyptic number.

12138192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

12138192 is an abundant number, since it is smaller than the sum of its proper divisors (25776048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12138192 is a wasteful number, since it uses less digits than its factorization.

12138192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12138192 is about 3483.9908151429. The cubic root of 12138192 is about 229.8183316551.

The spelling of 12138192 in words is "twelve million, one hundred thirty-eight thousand, one hundred ninety-two".